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Simplifying 2(3 + -5x) + 4x = 2x + 7 (3 * 2 + -5x * 2) + 4x = 2x + 7 (6 + -10x) + 4x = 2x + 7 Combine like terms: -10x + 4x = -6x 6 + -6x = 2x + 7 Reorder the terms: 6 + -6x = 7 + 2x Solving 6 + -6x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -6x + -2x = 7 + 2x + -2x Combine like terms: -6x + -2x = -8x 6 + -8x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -8x = 7 + 0 6 + -8x = 7 Add '-6' to each side of the equation. 6 + -6 + -8x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 7 + -6 -8x = 7 + -6 Combine like terms: 7 + -6 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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